#include <bits/stdc++.h>
#define fr(i, n, m) for(int i = (n); i < (m); i ++)
#define pb push_back
#define st first
#define nd second
#define pq priority_queue
#define all(x) begin(x), end(x)
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
const ll inf = 1e18;
const int i_inf = 1e9;
const ll mod = 1e9+7;
mt19937 _rand(time(NULL));
const int mxn = 2e5;
int n, k;
vector<pii> g[mxn];
void add_edge(int a, int b, int w){
g[a].pb({b, w});
g[b].pb({a, w});
}
vector<pii> Q[mxn];
vector<int> C[mxn];
int qry[2*mxn];
bool deleted[mxn];
int sub[mxn];
int cn;
int tin[mxn];
void dfs0(int u, int p){
sub[u] = 1;
for(auto e : g[u]){
if(e.st == p || deleted[e.st]) continue;
dfs0(e.st, u);
sub[u] += sub[e.st];
}
}
int dfs1(int u, int p){
for(auto e : g[u]){
if(e.st != p && !deleted[e.st] && sub[e.st] > cn/2){
return dfs1(e.st, u);
}
}
return u;
}
int ans[2*mxn];
int ccen;
void inc(int u, int p, int cw){
tin[u] = cw;
for(auto e : g[u]){
if(e.st != p && !deleted[e.st] && e.nd >= cw){
inc(e.st, u, e.nd);
}
}
}
int active_w;
void dec(int u, int p, int cw){
for(auto q : Q[u]){
if(q.st == ccen){
if(active_w <= q.nd){
ans[q.nd] = 1;
}
continue;
}
if(tin[q.st] <= q.nd){
ans[q.nd] = 1;
}
}
for(auto e : g[u]){
if(e.st != p && !deleted[e.st] && e.nd <= cw){
dec(e.st, u, e.nd);
}
}
}
void clr(int u, int p){
tin[u] = 1e9;
for(auto e : g[u]){
if(e.st == p || deleted[e.st]) continue;
clr(e.st, u);
}
}
void decompose(int u, int p){
dfs0(u, u);
cn = sub[u];
int cen = dfs1(u, u);
ccen = cen;
sort(all(g[cen]), [](const pii &v1, const pii &v2){
return v1.nd > v2.nd;
});
for(auto e : g[cen]){
if(deleted[e.st]) continue;
active_w = e.nd;
dec(e.st, cen, e.nd);
inc(e.st, cen, e.nd);
}
//cout<<cen+1<<endl;
for(auto q : Q[cen]){
//cout<<"."<<q.st+1<<' '<<q.nd<<' '<<tin[q.st]<<endl;
if(tin[q.st] <= q.nd){
ans[q.nd] = 1;
}
}
clr(cen, cen);
deleted[cen] = true;
for(auto e : g[cen]){
if(deleted[e.st]) continue;
decompose(e.st, cen);
}
}
void solve(){
cin >> n >> k;
fr(i, 0, n+k-1){
char t;
cin >> t;
if(t == 'S'){
qry[i] = 0;
int u, v;
cin >> u >> v;
--u, --v;
add_edge(u, v, i);
}
else if(t == 'Q'){
qry[i] = 1;
int u, v;
cin >> u >> v;
--u, --v;
if(u == v){
ans[i] = 1;
}
else Q[v].pb({u, i});
}
else{
qry[i] = 2;
int u;
cin >> u;
--u;
C[u].pb(i);
}
}
clr(0, 0);
decompose(0, -1);
fr(i, 0, n+k-1){
if(qry[i] == 0) continue;
if(qry[i] == 1){
if(ans[i] == 1) cout<<"yes"<<endl;
else cout<<"no"<<endl;
}
else{
//cout<<1<<endl;
}
}
}
int main(){
//freopen("in.txt", "r", stdin);
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
solve();
}
/*
7 2
S 1 2
S 2 4
S 5 2
S 3 7
S 1 3
S 3 6
Q 6 7
Q 7 6
*/
/*
4 10
S 1 2
S 3 4
S 2 3
Q 1 2
Q 1 3
Q 1 4
Q 2 1
Q 2 3
Q 2 4
Q 3 1
Q 3 2
Q 3 4
Q 4 1
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
212 ms |
17184 KB |
Output is correct |
2 |
Correct |
225 ms |
18752 KB |
Output is correct |
3 |
Correct |
219 ms |
18720 KB |
Output is correct |
4 |
Correct |
229 ms |
18712 KB |
Output is correct |
5 |
Correct |
238 ms |
19084 KB |
Output is correct |
6 |
Correct |
225 ms |
18880 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
212 ms |
17184 KB |
Output is correct |
2 |
Correct |
225 ms |
18752 KB |
Output is correct |
3 |
Correct |
219 ms |
18720 KB |
Output is correct |
4 |
Correct |
229 ms |
18712 KB |
Output is correct |
5 |
Correct |
238 ms |
19084 KB |
Output is correct |
6 |
Correct |
225 ms |
18880 KB |
Output is correct |
7 |
Incorrect |
206 ms |
18036 KB |
Extra information in the output file |
8 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
214 ms |
17260 KB |
Output is correct |
2 |
Correct |
378 ms |
24728 KB |
Output is correct |
3 |
Correct |
362 ms |
24692 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
214 ms |
17260 KB |
Output is correct |
2 |
Correct |
378 ms |
24728 KB |
Output is correct |
3 |
Correct |
362 ms |
24692 KB |
Output is correct |
4 |
Incorrect |
203 ms |
17236 KB |
Extra information in the output file |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
226 ms |
17204 KB |
Output is correct |
2 |
Correct |
527 ms |
36096 KB |
Output is correct |
3 |
Correct |
555 ms |
36208 KB |
Output is correct |
4 |
Correct |
411 ms |
36420 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
226 ms |
17204 KB |
Output is correct |
2 |
Correct |
527 ms |
36096 KB |
Output is correct |
3 |
Correct |
555 ms |
36208 KB |
Output is correct |
4 |
Correct |
411 ms |
36420 KB |
Output is correct |
5 |
Incorrect |
205 ms |
18040 KB |
Extra information in the output file |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
211 ms |
17184 KB |
Output is correct |
2 |
Correct |
399 ms |
28064 KB |
Output is correct |
3 |
Correct |
444 ms |
27424 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
211 ms |
17184 KB |
Output is correct |
2 |
Correct |
399 ms |
28064 KB |
Output is correct |
3 |
Correct |
444 ms |
27424 KB |
Output is correct |
4 |
Incorrect |
202 ms |
18212 KB |
Extra information in the output file |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
215 ms |
17204 KB |
Output is correct |
2 |
Correct |
515 ms |
36132 KB |
Output is correct |
3 |
Correct |
527 ms |
36192 KB |
Output is correct |
4 |
Correct |
388 ms |
36460 KB |
Output is correct |
5 |
Correct |
213 ms |
18244 KB |
Output is correct |
6 |
Correct |
369 ms |
28128 KB |
Output is correct |
7 |
Correct |
428 ms |
27412 KB |
Output is correct |
8 |
Correct |
465 ms |
28648 KB |
Output is correct |
9 |
Correct |
479 ms |
28616 KB |
Output is correct |
10 |
Correct |
526 ms |
31940 KB |
Output is correct |
11 |
Correct |
539 ms |
31104 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
215 ms |
17204 KB |
Output is correct |
2 |
Correct |
515 ms |
36132 KB |
Output is correct |
3 |
Correct |
527 ms |
36192 KB |
Output is correct |
4 |
Correct |
388 ms |
36460 KB |
Output is correct |
5 |
Correct |
213 ms |
18244 KB |
Output is correct |
6 |
Correct |
369 ms |
28128 KB |
Output is correct |
7 |
Correct |
428 ms |
27412 KB |
Output is correct |
8 |
Correct |
465 ms |
28648 KB |
Output is correct |
9 |
Correct |
479 ms |
28616 KB |
Output is correct |
10 |
Correct |
526 ms |
31940 KB |
Output is correct |
11 |
Correct |
539 ms |
31104 KB |
Output is correct |
12 |
Incorrect |
206 ms |
18000 KB |
Extra information in the output file |
13 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
221 ms |
17200 KB |
Output is correct |
2 |
Correct |
225 ms |
18848 KB |
Output is correct |
3 |
Correct |
221 ms |
18632 KB |
Output is correct |
4 |
Correct |
225 ms |
18884 KB |
Output is correct |
5 |
Correct |
225 ms |
19140 KB |
Output is correct |
6 |
Correct |
226 ms |
18884 KB |
Output is correct |
7 |
Correct |
214 ms |
18312 KB |
Output is correct |
8 |
Correct |
369 ms |
27556 KB |
Output is correct |
9 |
Correct |
369 ms |
27520 KB |
Output is correct |
10 |
Correct |
214 ms |
18116 KB |
Output is correct |
11 |
Correct |
515 ms |
36020 KB |
Output is correct |
12 |
Correct |
507 ms |
36044 KB |
Output is correct |
13 |
Correct |
387 ms |
36432 KB |
Output is correct |
14 |
Correct |
213 ms |
18116 KB |
Output is correct |
15 |
Correct |
370 ms |
27992 KB |
Output is correct |
16 |
Correct |
427 ms |
27484 KB |
Output is correct |
17 |
Correct |
469 ms |
28708 KB |
Output is correct |
18 |
Correct |
484 ms |
28564 KB |
Output is correct |
19 |
Correct |
524 ms |
31828 KB |
Output is correct |
20 |
Correct |
526 ms |
31088 KB |
Output is correct |
21 |
Correct |
387 ms |
28212 KB |
Output is correct |
22 |
Correct |
402 ms |
28188 KB |
Output is correct |
23 |
Correct |
437 ms |
28376 KB |
Output is correct |
24 |
Correct |
428 ms |
28360 KB |
Output is correct |
25 |
Correct |
591 ms |
32068 KB |
Output is correct |
26 |
Correct |
501 ms |
26436 KB |
Output is correct |
27 |
Correct |
475 ms |
26132 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
221 ms |
17200 KB |
Output is correct |
2 |
Correct |
225 ms |
18848 KB |
Output is correct |
3 |
Correct |
221 ms |
18632 KB |
Output is correct |
4 |
Correct |
225 ms |
18884 KB |
Output is correct |
5 |
Correct |
225 ms |
19140 KB |
Output is correct |
6 |
Correct |
226 ms |
18884 KB |
Output is correct |
7 |
Correct |
214 ms |
18312 KB |
Output is correct |
8 |
Correct |
369 ms |
27556 KB |
Output is correct |
9 |
Correct |
369 ms |
27520 KB |
Output is correct |
10 |
Correct |
214 ms |
18116 KB |
Output is correct |
11 |
Correct |
515 ms |
36020 KB |
Output is correct |
12 |
Correct |
507 ms |
36044 KB |
Output is correct |
13 |
Correct |
387 ms |
36432 KB |
Output is correct |
14 |
Correct |
213 ms |
18116 KB |
Output is correct |
15 |
Correct |
370 ms |
27992 KB |
Output is correct |
16 |
Correct |
427 ms |
27484 KB |
Output is correct |
17 |
Correct |
469 ms |
28708 KB |
Output is correct |
18 |
Correct |
484 ms |
28564 KB |
Output is correct |
19 |
Correct |
524 ms |
31828 KB |
Output is correct |
20 |
Correct |
526 ms |
31088 KB |
Output is correct |
21 |
Correct |
387 ms |
28212 KB |
Output is correct |
22 |
Correct |
402 ms |
28188 KB |
Output is correct |
23 |
Correct |
437 ms |
28376 KB |
Output is correct |
24 |
Correct |
428 ms |
28360 KB |
Output is correct |
25 |
Correct |
591 ms |
32068 KB |
Output is correct |
26 |
Correct |
501 ms |
26436 KB |
Output is correct |
27 |
Correct |
475 ms |
26132 KB |
Output is correct |
28 |
Incorrect |
201 ms |
18024 KB |
Extra information in the output file |
29 |
Halted |
0 ms |
0 KB |
- |